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Finding the Fourth Proportional to 2,174.68, 3,262.02 and 531.24

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Solution

The fourth proportional to 2,174.68, 3,262.02 and 531.24 is: 796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.68 : 3,262.02 = 531.24 : x
  2. Step 2: Convert to fraction form
    2,174.68/3,262.02 = 531.24/x
  3. Step 3: Cross multiply
    2,174.68x = 3,262.02 × 531.24
  4. Step 4: Simplify right side
    2,174.68x = 1,732,915.50
  5. Step 5: Solve for x
    x = 1,732,915.50/2,174.68
  6. Step 6: Final answer
    x = 796.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.